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Finding the Fourth Proportional to 75,431.68, 112,975.28 and 36,016.46

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Solution

The fourth proportional to 75,431.68, 112,975.28 and 36,016.46 is: 53,942.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,431.68 : 112,975.28 = 36,016.46 : x
  2. Step 2: Convert to fraction form
    75,431.68/112,975.28 = 36,016.46/x
  3. Step 3: Cross multiply
    75,431.68x = 112,975.28 × 36,016.46
  4. Step 4: Simplify right side
    75,431.68x = 4,068,969,653.11
  5. Step 5: Solve for x
    x = 4,068,969,653.11/75,431.68
  6. Step 6: Final answer
    x = 53,942.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.